English

Lecture Notes on Noncommutative Lp-Spaces

Operator Algebras 2018-03-08 v1 Functional Analysis

Abstract

These lecture notes were written during a mini-course on noncommutative Lp-spaces at the Basque Center of Applied Mathematics. It starts presenting the theory of weights and traces in von Neumann algebra, followed by the theory of noncommutative measure. After that, it presents a construction of these spaces in all detail and give some important results e.g. the noncommutative Radon-Nikodym theorem.

Keywords

Cite

@article{arxiv.1803.02390,
  title  = {Lecture Notes on Noncommutative Lp-Spaces},
  author = {Ricardo Correa da Silva},
  journal= {arXiv preprint arXiv:1803.02390},
  year   = {2018}
}
R2 v1 2026-06-23T00:44:23.696Z